For each self-injective graded algebra Λ with degree-zero part of finite global dimension, the Q-shaped derived category of any algebra A is equivalent to the ordinary derived category of the endomorphism ring Γ tensored with A.
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Tilting in $Q$-shaped derived categories
For each self-injective graded algebra Λ with degree-zero part of finite global dimension, the Q-shaped derived category of any algebra A is equivalent to the ordinary derived category of the endomorphism ring Γ tensored with A.